3x-14=5(6-x)

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Solution for 3x-14=5(6-x) equation:


Simplifying
3x + -14 = 5(6 + -1x)

Reorder the terms:
-14 + 3x = 5(6 + -1x)
-14 + 3x = (6 * 5 + -1x * 5)
-14 + 3x = (30 + -5x)

Solving
-14 + 3x = 30 + -5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5x' to each side of the equation.
-14 + 3x + 5x = 30 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-14 + 8x = 30 + -5x + 5x

Combine like terms: -5x + 5x = 0
-14 + 8x = 30 + 0
-14 + 8x = 30

Add '14' to each side of the equation.
-14 + 14 + 8x = 30 + 14

Combine like terms: -14 + 14 = 0
0 + 8x = 30 + 14
8x = 30 + 14

Combine like terms: 30 + 14 = 44
8x = 44

Divide each side by '8'.
x = 5.5

Simplifying
x = 5.5

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